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Gnoma [55]
3 years ago
8

Solve for r. 60 = -24 + 12r​

Mathematics
2 answers:
Ivahew [28]3 years ago
8 0

Answer:

7

Step-by-step explanation:

neonofarm [45]3 years ago
3 0

Answer:

r = 7

Step-by-step explanation:

60 = -24 + 12r​

<u>+24  +24</u>

84 = 12r

84 ÷ 12 = r

7 = r

Check:

60 = -24 + 12r

-24 + 12(7)

-24 + 84 = 60

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length of a rectangle is 4 inches less than its width, and its perimeter is 24 inches. Which of the following systems of equatio
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length= 8 width = 4

Step-by-step explanation:

24-8=16

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10. Error Analysis A student draws a triangle with a perimeter 36 cm. The
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Answer:

see the explanation

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

In this problem

If the perimeter of triangle is equal to 36 cm

The longest side can't be equal to 18 cm

The student is incorrect

Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm

and

Applying the triangle inequality theorem

Let

c  -----> the longest side

a and b the other two sides

we have that

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a+b > c

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therefore

If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm

4 0
3 years ago
A toy rocket is launched from the top of a building 135 feet tall at an initial velocity of 167 feet per second. Give the functi
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Answer:

h(t) = = -16t^2 + 167t + 135

Step-by-step explanation:

This is an equation of motion of an object umder a constant acceleration(here it is the acceleration due to gravity);

h(t) = = -16t^2 + 167t + 135.

Note: t is the time in seconds and h is the height in feet at time t.

3 0
3 years ago
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter
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Answer:

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

Step-by-step explanation:

The ball will hit the ground when its height is equal to 0 meters, therefore using this value in the expression and solving for "t" will give us the correct solutions.

h = -4.9*t^2 + 5*t + 2\\\\-4.9*t^2 + 5*t + 2 = 0\\\\t_{1,2} = \frac{-5 \pm \sqrt{5^2 - 4*(-4.9)*(2)}}{2*(-4.9)}\\\\t_{1,2} = \frac{-5 \pm \sqrt{64.2}}{-9.8}\\\\t_{1,2} =\frac{-5 \pm 8.0125}{-9.8}\\\\t_1 = \frac{-5 - 8.0125}{-9.8} = 1.33 \text{ s}\\\\t_2 = \frac{-5 + 8.0125}{-9.8} = -0.3 \text{ s}

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

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3 years ago
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